Appendix IB. Course Syllabi

Math 266 Elementary Differential Equations

1. Course Name: Math 266. Elementary Differential Equations

2. Catalog Description (1999 — 2001 Bulletin) :
3 credits; Elementary theory and applications of ordinary differential equations, matrices, and solutions of linear equations, eigenvalue methods for systems of linear equations.

3. Prerequisites: Grade of C- or better in Math 166.

4. Textbook / Materials:
Boyce, W.E., and DiPrima, R.C., Elementary Differential Equations and Boundary Value Problems, 6^th Ed.

5. Course Learning Objectives:
Upon completion of Math 267, the student shall be able to

a. Identify and solve ordinary differential equations and corresponding initial value problems of the following types: First order linear, First order exact, Nth order constant coefficient linear (homogeneous or not), Second order Cauchy-Euler equations

b. Use differential equations to model some physical systems and problems, including mass-spring systems.

c. Find equilibrium solutions of autonomous first order ordinary differential equations and classify them according to stability.

d. Find solutions in the form of power series about an ordinary point for second order linear differential equations.

e. Convert an ordinary differential equation or system by change of variables to a system of first order equations.

f. Solve systems of first order linear differential equations with constant coefficients.

g. Find a classify critical points of first order homogeneous constant coefficient systems.

h. Identify critical points of nonlinear first order systems, and apply simple classification and stability theorems.

6. Topics Covered: Boyce. Elementary Differential Equations and Bound Value Problems.

7. Class / Laboratory Schedule: 4 hrs lecture per week

8. Contribution of Course to Meeting the Professional Component:
This is a foundation course, providing the student with the background in mathematics necessary for further professional development.

9. Relationship of Course to Program Learning Outcomes and Program Educational Objectives:
This course is one component of mathematics computation related learning outcomes.

10. Person Preparing Document:
Ann Dieterich — College of Engineering Assessment Resource Coordinator 5/1/ 00
Mathematics Contact — Jim Peake